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Finding the Third Proportional to 212,599.50 and 329,167.50

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Solution

The third proportional to 212,599.50 and 329,167.50 is: 509,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,599.50 : 329,167.50 = 329,167.50 : x
  2. Step 2: Convert to fraction form
    212,599.50/329,167.50 = 329,167.50/x
  3. Step 3: Cross multiply
    212,599.50x = 329,167.50 × 329,167.50
  4. Step 4: Simplify right side
    212,599.50x = 108,351,243,056.25
  5. Step 5: Solve for x
    x = 108,351,243,056.25/212,599.50
  6. Step 6: Final answer
    x = 509,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.